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Finding the Third Proportional to 97,864 and 136,172

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Solution

The third proportional to 97,864 and 136,172 is: 189,475.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,864 : 136,172 = 136,172 : x
  2. Step 2: Convert to fraction form
    97,864/136,172 = 136,172/x
  3. Step 3: Cross multiply
    97,864x = 136,172 × 136,172
  4. Step 4: Simplify right side
    97,864x = 18,542,813,584
  5. Step 5: Solve for x
    x = 18,542,813,584/97,864
  6. Step 6: Final answer
    x = 189,475.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.